Question

1. the dot - plot shows the temperature (°c) of a lab sample recorded over a period of time. each dot represents 1 hour. find the mode of the data set.
2. an animal shelter volunteer counted the number and the type of animals currently at the shelter. she uses the following notation to record the data: d (dogs), c (cats), h (hamsters), g (guinea pigs), and r (rabbits). below is the data she recorded. what is the mode of the data set?

r h d d c r d r h h
d c c r h g d h g c
animals in a shelter
animal frequency
dogs
cats
hamsters
guinea pigs
rabbits

Explanation:

9.

Step1: Recall mode definition

The mode is the value that appears most frequently in a data - set.

Step2: Count dot frequencies

For the dot - plot:

• At 23°C, there are 2 dots.
• At 24°C, there are 1 dot.
• At 25°C, there are 1 dot.
• At 26°C, there are 3 dots.
• At 27°C, there are 2 dots.
• At 28°C, there are 3 dots.

Step3: Identify the mode

The values 26°C and 28°C both have the highest frequency (3). So the modes are 26°C and 28°C.

Step1: Recall mode definition

The mode is the value that appears most frequently in a data - set.

Step2: Count animal frequencies

• Dogs (D): Count the number of 'D's. There are 6 'D's.
• Cats (C): Count the number of 'C's. There are 3 'C's.
• Hamsters (H): Count the number of 'H's. There are 4 'H's.
• Guinea pigs (G): Count the number of 'G's. There are 2 'G's.
• Rabbits (R): Count the number of 'R's. There are 3 'R's.

Step3: Identify the mode

The animal type 'Dogs (D)' appears most frequently (6 times).

Answer:

26°C and 28°C

10.